A bag contains 8 red marbles 4 blue marbles and 1 green marbles. Find p(not blue)
9/13
4/13
To find the probability of an event not occurring, we can subtract the probability of the event occurring from 1.
The probability of choosing a blue marble can be calculated by dividing the number of blue marbles by the total number of marbles in the bag:
P(blue) = 4 (number of blue marbles) / 13 (total number of marbles)
To find P(not blue), we subtract P(blue) from 1:
P(not blue) = 1 - P(blue)
We already calculated that P(blue) = 4/13, so we can substitute that value into the equation:
P(not blue) = 1 - 4/13
To simplify the fraction, we find a common denominator:
P(not blue) = (13/13) - (4/13)
P(not blue) = 9/13
Therefore, the probability of not choosing a blue marble is 9/13.
To find the probability of an event occurring, we need to know the number of favorable outcomes (the event we are interested in) and the total number of possible outcomes.
In this case, we want to find the probability of not drawing a blue marble. To do this, we need to calculate the number of favorable outcomes (no blue marbles) and the total number of outcomes.
The number of favorable outcomes (no blue marbles) is the sum of the number of red marbles and the number of green marbles in the bag, which is 8 red marbles + 1 green marble = 9 marbles.
The total number of outcomes is the sum of all the marbles in the bag, which is 8 red marbles + 4 blue marbles + 1 green marble = 13 marbles.
Therefore, the probability of not drawing a blue marble can be calculated as:
P(not blue) = Number of favorable outcomes / Total number of outcomes
P(not blue) = 9 / 13
So, the probability of not drawing a blue marble is 9/13.